This question is incomplete, the complete question is;
Determine if the described set is a subspace. Assume a, b, and c are real numbers.
The subset of R³ consisting of vectors of the form [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0
The set is a subspaceThe set is not a subspace
Answer:
Therefore; The set is not a subspace
Step-by-step explanation:
Given the data the question;
the subset R³;
S = { [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0 }
we know that a subset of R³ is a subspace if it stratifies the following properties;
it contains additive identityit is closed under additionit is closed under scales multiplicationLooking at the properties, we can say that it is not a subspace
As;
u = [tex]\left[\begin{array}{ccc}1\\1\\0\end{array}\right][/tex] ∈ S and v = [tex]\left[\begin{array}{ccc}0\\1\\1\end{array}\right][/tex] ∈ S
As 1×1×0=0 0×1×1=0
But u+v = [tex]\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =[/tex] [tex]\left[\begin{array}{ccc}1\\2\\1\end{array}\right][/tex] ∉ S as 1×2×1 ≠ 0
Hence, it is not closed under addition.
Therefore; The set is not a subspace
Help i need asaaaaaap °∠°
Answer:
Cube 1 = 30 cubic
Cube 2 = 48 cubic
Cube 3 = 72 cubic
Step-by-step explanation:
Cube 1 = 5x2x3
Cube 2 = 6x2x4
Cube 3 = 8x3x3
Find the value of x in this triangle
Ben collects state quarters. He has 40 out of the 50 available quarters. What is 40 out of 50 as a percent?
Answer:
80%
Step-by-step explanation:
If there are 9 hippos, how many pumpkins do you need?
Answer:
9 go to the store rn.
Which of the following could be the lengths of the sides for a triangle that is similar to the triangle shown?
Step-by-step explanation: {KILLA KWEEN} DAISAN NO BAKUDAN--/|BITES ZA DUSTO|\
Mac has 1/4 hour left of track practice and must be completed 8 laps around the track before he leaves which equation can be used to find how long has to complete each lap if mac runs at a constant pace?
A. X= 1/4 ÷ 8
B. X= 1/8 ÷ 1/8
C. X= 1/4 ÷ 1/8
D. X= 8 ÷ 1/4
Answer:
(a) [tex]Unit = \frac{1}{4}/8[/tex]
Step-by-step explanation:
Given
[tex]Time = \frac{1}{4}[/tex]
[tex]Lap = 8[/tex]
Required
Determine the time in each lap
The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;
[tex]Unit = \frac{Time}{Lap}[/tex]
Substitute values for Time and Lap
[tex]Unit = \frac{1}{4}/8[/tex]
Please help with this question
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
What simple interest rate is needed for $1,000 to grow to $1,071.25 in 9 months? (Round to the nearest tenth of a percent, if necessary)
Answer:
9.6%
Step-by-step explanation:
anyone very good in math and wanna helpppp me?
Find the 6th term in the sequence of
11,33,99,297...
Answer:
[tex]2673[/tex]
Step-by-step explanation:
In order to find the answer to this question you must find the rule and then keep applying that rule in till you get to the 6th term of the sequence.
[tex]11,33,99,297[/tex]
[tex]R=\times3[/tex]
[tex]297\times3=891[/tex]
[tex]891\times3=2673[/tex]
[tex]=2673[/tex]
Hope this helps.
If the point (-5, -4) is reflected across the x-axis, what are the coordinates of the new point?
Answer:
(-5, 4)
Step-by-step explanation:
Recall that in a reflection across the x-axis the x coordinate stays the same, while the y coordinate flips its sign.
Therefore
(-5, -4) converts under reflection into (-5, 4)
Write an expression in the simplest form that represents the perimeter of the following shape
Perimeter is adding all 4 sides together:
8 + 8 + 9x + 9x
Simplify by coming like terms to get:
18x + 16
The answer is d. 18x + 16
a = (5)
b = (3)
Work out 4a + b
Step-by-step explanation:
IF A=5, B=3
4*5+3=20+3
=23
THE ANSWER IS 23
Answer the question and explain your answer. I will be marking brainiest! If you have the correct answer and explain why it’s correct, I will probably pick YOU as brainiest! :)
Answer:
A = 200.96 sq ft
Step-by-step explanation:
formula for area of a circle: A = π·r²
A = (3.14)·(8²)
A = 64·(3.14)
A = 200.96
State a, b, and the y-intercept then graph the function and describe the end behavior of the grpahs
9514 1404 393
Answer:
9. a = 3, b = 3, y-intercept = 3
10. a = 5, b = 0.6, y-intercept = 5
Step-by-step explanation:
The picture is fuzzy, but we think the given equations are ...
[tex]\text{9. }f(x)=3(3)^x\\ \text{10. }f(x)=5(0.6)^x[/tex]
You are comparing these to the form ...
[tex]f(x) = a(b)^x[/tex]
so the values of 'a' and 'b' should be readily identifiable. The y-intercept in each case is y = a.
The end behavior depends on whether b > 1 or not. Growth functions (b>1) go to 0 on the left and ∞ on the right. Decay functions (b<1) are the reverse.
__
9. a = 3, b = 3, y-intercept = 3
The end behaviors are (x, f(x)) ⇒ (-∞, 0), (∞, ∞).
__
10. a = 5, b = 0.6, y-intercept = 5
The end behaviors are (x, f(x)) ⇒ (-∞, ∞), (∞, 0).
What is the total cost for x months?
Convert the number 243FIVE to base ten
Step-by-step explanation:
ok that is the answer bro
herehjbhhjbhjghvgvgvgvg
. sells t-shirts for $2 and shorts for $4 in April the total sales were 600.00 people bought four times as many t-shirts as shorts how many t-shirts and shorts did they sell?
Answer:
200 t-shirts and 50 shorts
Step-by-step explanation:
t= t-shirts
s = shorts
600 = 2t + 4s
t = 4s
600 = 2(4s) + 4s
600 = 8s + 4s ––––> 600 = 12s
s = 50
t = 4(50) –––––> t = 200
check:
600 = 2(200) + 4(50)
600 = 400 + 200
600 = 600
At a party, the punch bowl is hemispherical, with 2 foot radius and open at the top. The fruit punch weighs 66 pounds per cubic foot. At the beginning of the party the bowl is full to the brim. The rules for serving punch require each person to fill the ladle, raise it exactly 1 foot above the top of the owl (without spilling!), and then pour the punch into a cup at that level. After 10 minutes, 30 people have filled 30 cups, and the punch remaining in the bowl is 4 inches deep. Draw a picture of the situation, and then set up the integral for the work W involved in raising the punch until the punch remaining in the bowl has a depth of only 4 inches. Include all pertinent information in the integral, but do not evaluate the integral.
Answer:
W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27
Step-by-step explanation:
Vertical cross-section of bowl is a semi-circle of radius 1, centered at (0,0)
x² + y² = 1 (for y ≤ 0)
Bottom of bowl is at y = −1
Top of bowl is at y = 0
When punch is 4 inches deep, this 1/3 ft above bottom of bowl:
y = −1+1/3 = −2/3
So we integrate from y = −2/3 to y = 0
Radius of cross section at height of y is = x = √(1−y²)
Area of cross section at height y is πr²= πx² = π(1−y²)
Since each person is to lift ladle 2 feet above the top of the bowl, then distance = 2−y
W = Σ (density of punch * distance * volume of punch)
W = ∫ [−2/3 to 0] 66 * (2−y) * πr² dy
W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27
3/4÷1/5 gffgdfdgfggdggdgdgdfgdgdgdgdgdgdgdgdfgdfgdgd ancer
Answer:
improper fraction- 15/4
Mixed number- 3 3/4
Decimal- 3.75
Step-by-step explanation:
use K.C.F (Keep Change Flip)
A local restaurant offers pizza with a choice of toppings from this list: cheese, sausage, pepperoni, mushroom, green peppers, hot peppers, ham, pineapple, and anchovies. How many different 4-toppings pizzas can be made with these toppings?
Answer:
126
Step-by-step explanation:
The number of different 4-toppings pizzas can be made with given toppings is 70.
There are 8 different toppings of pizza are given.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
Here, n=8 and r=4
Now, 8C4
= [tex]\frac{8!}{4!(8-4)!} =\frac{8\times7\times6\times5\times4!}{(4\times3\times2\times1)4!}[/tex]
= (8×7×6×5)/(4×3×2×1)
= 7×2×5
= 70
Therefore, the number of different 4-toppings pizzas can be made with given toppings is 70.
To learn more about the permutation and combination visit:
https://brainly.com/question/28065038.
#SPJ5
Catherine and Joseph together bought a video game for $16.40. Joseph contributed $7.80.
Approximately what percent of the total cost did Catherine contribute? * DS
(1 Point)
How do you get the answer
Answer:
16.40-7.80= 8.608.60/16.40×100= 52.43%Answer: 52.4 percent
Step-by-step explanation: So you'd want to subtract 7.80 from 16.40 to get 8.60. Then you'd multiply that by 100 which would give you 860. After you've done that you want to divide 860 by 16.40.
You’re five neighboring restaurants charge $9.95, $12.95, 8.50, 8.95, and $10.54 hamburger special. What is the mean price
It takes Emmanuel 20 minutes to walk to school. It takes Liah 80% as long to walk to school. How long does it take Liaqh to walk to school? Show your work, then put your answer in the text box.
Answer:
16 minutes
Step-by-step explanation:
80% of 20 is
80/100 * 20 = 16
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
By creating some crops that resist certain insects
Step-by-step explanation:
Answer:
Aww man i wasn't the earliest
Step-by-step explanation:
By creating some crops that resist certain insects
Find each percent. 5 is what percent of 15?
Answer:
0.75
Step-by-step explanation:
this is what popped up in my calculator so i hope this helps you. :)
HELP I’m being timed!!!
find the difference 4 1/3 - 2 2/3
Answer:
1 2/3
Step-by-step explanation:
convert to improper fraction:
13/3 - 8/3
then solve:
13/3 - 8/3 = 5/3
convert back to a mixed number (unless your not supposed to, if that is the case then "5/3" is your answer):
"1 2/3" is "5/3" as a mixed number.
so your answer (as a mixed number) is:
"1 2/3"
4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120
Answer:
D
Step-by-step explanation:
The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.
